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Finding the Fourth Proportional to 319.68, 481.72 and 309.96

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Solution

The fourth proportional to 319.68, 481.72 and 309.96 is: 467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.68 : 481.72 = 309.96 : x
  2. Step 2: Convert to fraction form
    319.68/481.72 = 309.96/x
  3. Step 3: Cross multiply
    319.68x = 481.72 × 309.96
  4. Step 4: Simplify right side
    319.68x = 149,313.93
  5. Step 5: Solve for x
    x = 149,313.93/319.68
  6. Step 6: Final answer
    x = 467.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.